why does log a + log b = log (ab)
Let log a be some number A and log b be some number B
now the natural log of something is the equivalent of saying a=e^A and b = e^B
So a*b = e^A * e^B which by rules of indices
= e^(A+B)
Therefore log(ab) = log(e^(A+B))
= A + B = log a + log b
RV
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